TY - JOUR ID - 7433 TI - Center manifold analysis and Hopf bifurcation of within-host virus model JO - Computational Methods for Differential Equations JA - CMDE LA - en SN - 2345-3982 AU - Mohebbi, Hossein AU - Aminataei, Azim AU - Pourbashash, Hossein AU - Ataei Pirkooh, Anjila AD - Department of Applied Mathematics, Faculty of Mathematics, K. N. Toosi University of Technology, P. O. Box: 16315-1618, Tehran, Iran AD - Department of Mathematics, University of Garmsar, P. O. Box: 3581755796, Garmsar, Iran AD - Department of Virology, School of Medicine, Iran University of Medical Sciences, Tehran, Iran Y1 - 2018 PY - 2018 VL - 6 IS - 3 SP - 266 EP - 279 KW - Within-host virus model KW - Local and global stability KW - Center manifold KW - Reproduction number KW - Hopf Bifurcation DO - N2 - A mathematical model of a within-host viral infection is presented. A local stability analysis of the model is conducted in two ways. At first, the basic reproduction number of the system is calculated. It is shown that when the reproduction number falls below unity, the disease free equilibrium (DFE) is globally asymptotically stable, and when it exceeds unity, the DFE is unstable and there exists a unique infectious equilibrium which may or may not be stable. In the case of instability, there exists an asymptotically stable periodic solution. Secondly, an analysis of local center manifold shows that when R0 = 1, a transcritical bifurcation occurs where upon increasing R0 greater than one the DFE loses stability and a locally asymptotically positive infection equilibrium appears.  UR - https://cmde.tabrizu.ac.ir/article_7433.html L1 - https://cmde.tabrizu.ac.ir/article_7433_9f1264cddc71f632931face495f4c2bf.pdf ER -